A 60kg student traveling in a 1000kg car with a constant velocity has a kinetic energy of 1.2 x 10^4 J. What is the speedometer reading of the car in km/hr?

Respuesta :

Answer:

17.64 km/h

Explanation:

mass of car, m = 1000 kg

Kinetic energy of car, K = 1.2 x 10^4 J

Let the speed of car is v.

Use the formula for kinetic energy.

[tex]K = \frac{1}{2}mv^{2}[/tex]

By substituting the values

[tex]1.2\times 10^{4} = \frac{1}{2}\times 1000\times v^{2}[/tex]

v = 4.9 m/s

Now convert metre per second into km / h

We know that

1 km = 1000 m

1 h = 3600 second

So, [tex]v = \left (\frac{4.9}{1000}   \right )\times \left ( \frac{3600}{1} \right )[/tex]

v = 17.64 km/h

Thus, the reading of speedometer is 17.64 km/h.

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